find the value of m such that a=mi-2j+k and b=2mi+mj-4k are perpendicularfind the value of m such that a=mi-2j+k and b=2mi+mj-4k are perpendicular
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m = - 4 / 2 = - 2 , 8 / 2 = 4
Explanation:
Given : find the value of m such that a=mi-2j+k and b=2mi+mj-4k are perpendicular find the value of m such that a=mi-2j+k and b=2mi+mj-4k are perpendicular
To find : find the value of m such that a=mi-2j+k and b=2mi+mj-4k are perpendicular find the value of m such that a=mi-2j+k and b=2mi+mj-4k are perpendicular
Solution :
a⋅ b = o
2 m ² - 2 m - 4 = 0
m = 2 ± √ ( 2 ) ²- 4 6 0 ) ( - 4 ) 2 ( 2 )
=2 ± √ 4 + 3 2 / 4
= 2 ± 6 / 2
m = - 4 / 2 = - 2 , 8 / 2 = 4
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